We review the microstate geometries in the five-dimensional minimal ungauged supergravity (the five-dimensional Einstein-Maxwell theory with a Chern-Simons term) [1]}, [2]}.
The metric and the gauge potential 1-form of the Maxwell field can be written as
\(ds^2&=&-f^2(dt+\omega )^2+f^{-1}ds_{M}^2,\\A&=&\frac{\sqrt{3}}{2} \left[f(d t+\omega )-\frac{K}{H}(d \psi +\chi )-\xi \right], \) 
